$*11-40.$ Determine to the nearest millimeter the

minimum diameter of the solid shaft if it is subjected to the

gear loading. The bearings at A and $B$ exert force

components only in the $y$ and $z$ directions on the shaft. Base

the design on the maximum$-$distortion$-$energy theory of

failure with ${}_{\text{a}\text{l}\text{l}\text{o}\text{w}}=150$MPa.